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Finding the Fourth Proportional to 241,101.72, 361,647.78 and 74,889.24

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Solution

The fourth proportional to 241,101.72, 361,647.78 and 74,889.24 is: 112,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,101.72 : 361,647.78 = 74,889.24 : x
  2. Step 2: Convert to fraction form
    241,101.72/361,647.78 = 74,889.24/x
  3. Step 3: Cross multiply
    241,101.72x = 361,647.78 × 74,889.24
  4. Step 4: Simplify right side
    241,101.72x = 27,083,527,391.89
  5. Step 5: Solve for x
    x = 27,083,527,391.89/241,101.72
  6. Step 6: Final answer
    x = 112,332.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.